Work

Fuzzy surfaces of genus zero

Year: 1997

Type: article

Abstract: A fuzzy version of the ordinary round 2-sphere has been constructed with an invariant curvature. We here consider linear connections on arbitrary fuzzy surfaces of genus zero. We shall find as before that they are more or less rigidly dependent on the differential calculus used, but that a large number of the latter can be constructed which are not covariant under the action of the rotation group. For technical reasons we have been forced to limit our considerations to fuzzy surfaces which are small perturbations of the fuzzy sphere.

Source: Classical and Quantum Gravity

DOI: 10.1088/0264-9381/14/12/014

Author: J Madore

Institutions: Université Paris-Sud, Laboratoire de Physique Théorique et Hautes Energies

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2022567972

FWCI: 0.646

Cites: 29

Cited by: 3

Related to: 10